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Finding the Fourth Proportional to 3,681.92, 5,080.02 and 3,497.24

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Solution

The fourth proportional to 3,681.92, 5,080.02 and 3,497.24 is: 4,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.92 : 5,080.02 = 3,497.24 : x
  2. Step 2: Convert to fraction form
    3,681.92/5,080.02 = 3,497.24/x
  3. Step 3: Cross multiply
    3,681.92x = 5,080.02 × 3,497.24
  4. Step 4: Simplify right side
    3,681.92x = 17,766,049.14
  5. Step 5: Solve for x
    x = 17,766,049.14/3,681.92
  6. Step 6: Final answer
    x = 4,825.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.